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 A196774 Decimal expansion of the number c for which the curve y=c+1/x is tangent to the curve y=sin(x), and 0 < x < 2*Pi. 5
 4, 2, 0, 8, 4, 2, 7, 5, 2, 6, 5, 6, 6, 7, 4, 1, 9, 5, 1, 6, 0, 6, 5, 3, 1, 2, 5, 0, 6, 9, 3, 2, 7, 8, 2, 4, 9, 0, 7, 0, 4, 2, 6, 0, 6, 5, 4, 9, 7, 3, 8, 9, 8, 9, 0, 5, 0, 2, 0, 0, 6, 4, 2, 0, 9, 6, 9, 4, 9, 8, 0, 6, 5, 0, 6, 4, 7, 9, 2, 4, 4, 8, 6, 7, 5, 2, 7, 9, 8, 5, 5, 9, 2, 8, 9, 1, 2, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..98. EXAMPLE x=0.4208427526566741951606531250693278249070426065... MATHEMATICA Plot[{1/x + .42, Sin[x]}, {x, 0, 2 Pi}] t = x /. FindRoot[-1 == (x^2) Cos[x], {x, 1.5, 2.5}, WorkingPrecision -> 100] RealDigits[t] (* A196773 *) c = N[-1/t + Sin[t], 100] RealDigits[c] (* A196774 *) slope = N[-1/t^2, 100] RealDigits[slope](* A196775 *) CROSSREFS Cf. A196773, A196775. Sequence in context: A197813 A200496 A058546 * A219245 A299769 A091435 Adjacent sequences: A196771 A196772 A196773 * A196775 A196776 A196777 KEYWORD nonn,cons AUTHOR Clark Kimberling, Oct 06 2011 STATUS approved

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Last modified August 12 09:11 EDT 2024. Contains 375085 sequences. (Running on oeis4.)